Engineering Optics With Matlab

by Poon, Ting-Chung; Kim, Taegeun

• ISBN13: 9789812568724
• ISBN10: 9812568727
• Format: Hardcover
• Copyright: 2006-09-30
• Publisher: World Scientific Pub Co Inc

Summary

This invaluable textbook serves two purposes. The first is to introduce some traditional topics such as matrix formalism of geometrical optics, wave propagation and diffraction, and some fundamental background on fourier optics. The second is to present the essentials of acousto-optics and electro-optics, and provide the students with experience in modeling the theory and applications using a commonly used software tool MATLAB?. The book is based on the authors? own in-class lectures as well as researches in the area.

Table of Contents

Preface	p. V
Geometrical Optics
Fermat's Principle	p. 2
Reflection and Refraction	p. 3
Ray Propagation in an Inhomogeneous Medium: Ray Equation	p. 6
Matrix Methods in Paraxial Optics	p. 16
The Ray Transfer Matrix	p. 17
Illustrative examples	p. 25
Cardinal points of an optical system	p. 27
Reflection Matrix and Optical Resonators	p. 32
Ray Optics using MATLAB	p. 37
Wave Propagation and Wave Optics
Maxwell's Equations: A Review	p. 46
Linear Wave Propagation	p. 50
Traveling-wave solutions	p. 50
Maxwell's equations in phasor domain: Intrinsic impedance, the Poynting vector, and polarization	p. 55
Electromagnetic waves at a boundary and Fresnel's equations	p. 60
Wave Optics	p. 73
Fourier transform and convolution	p. 74
Spatial frequency transfer function and spatial impulse response of propagation	p. 75
Examples of Fresnel diffraction	p. 79
Fraunhofer diffraction	p. 80
Fourier transforming property of ideal lenses	p. 83
Resonators and Gaussian beams	p. 86
Gaussian Beam Optics and MATLAB Examples	p. 97
q-transformation of Gaussian beams	p. 99
MATLAB example: propagation of a Gaussian beam	p. 102
Beam Propagation in Inhomogeneous Media
Wave Propagation in a Linear Inhomogeneous Medium	p. 111
Optical Propagation in Square-Law Media	p. 112
The Paraxial Wave Equation	p. 119
The Split-Step Beam Propagation Method	p. 121
MATLAB Examples Using the Split-Step Beam Propagation Method	p. 124
Beam Propagation in Nonlinear Media: The Kerr Media	p. 134
Spadal soliton	p. 136
Self-focusing and self-defocusing	p. 139
Acousto-Optics
Qualitative Description and Heuristic Background	p. 152
The Acousto-optic Effect: General Formalism	p. 158
Raman-Nath Equations	p. 161
Contemporary Approach	p. 164
Raman-Nath Regime	p. 165
Bragg Regime	p. 166
Numerical Examples	p. 172
Modern Applications of the Acousto-Optic Effect	p. 178
Intensity modulation of a laser beam	p. 178
Light beam deflector and spectrum analyzer	p. 181
Demodulation of frequency modulated (FM) signals	p. 182
Bistable switching	p. 184
Acousto-optic spatial filtering	p. 188
Acousto-optic heterodyning	p. 196
Electro-Optics
The Dielectric Tensor	p. 205
Plane-Wave Propagation in Uniaxial Crystals; Birefringence	p. 210
Applications of Birefringence: Wave Plates	p. 217
The Index Ellipsoid	p. 219
Electro-Optic Effect in Uniaxial Crystals	p. 223
Some Applications of the Electro-Optic Effect equations	p. 227
Intensity modulation	p. 227
Phase modulation	p. 236
Index	p. 241
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